Function range
A function range in mathematics is a description of the possible values produced by a function.
Given a function f: A → B, the set f(A) is called the range of f.
The range is not to be confused with the codomain B. Generally the range is only a subset of the codomain.
Example
Let the function f be a function on the real numbers:
- f: R → R
defined by
- f: x → x2
The codomain of f is R, but clearly f(x) never takes negative values, and thus the range is in fact the set R+ -- non-negative reals, ie the interval [1]
- 0 ≤ f(x) < ∞
See also: Function codomain, Function domain, Injective, Surjective, Bijective
Referenced By
Codomain | Domain (function) | Domain of definition | Function codomain | Function domain | Function restriction | Image | Image (function) | Image (functions) | List of basic discrete mathematics topics | List of mathematical topics (D-F) | List of mathematical topics (F-Z) | Picture
|
